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Bucur, Dorin

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Author ID: bucur.dorin Recent zbMATH articles by "Bucur, Dorin"
Published as: Bucur, Dorin; Bucur, D.
Documents Indexed: 115 Publications since 1994, including 2 Books
all top 5

Serials

8 Archive for Rational Mechanics and Analysis
8 Journal of Differential Equations
5 SIAM Journal on Mathematical Analysis
5 Comptes Rendus de l’Académie des Sciences. Série I
5 Calculus of Variations and Partial Differential Equations
4 Journal of Functional Analysis
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Journal of Convex Analysis
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Advances in Mathematical Sciences and Applications
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Control and Cybernetics
2 Proceedings of the London Mathematical Society. Third Series
2 SIAM Journal on Control and Optimization
2 Transactions of the American Mathematical Society
2 The Journal of Geometric Analysis
2 SIAM Journal on Applied Mathematics
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
2 Journal of Mathematical Fluid Mechanics
2 Milan Journal of Mathematics
1 IMA Journal of Numerical Analysis
1 Journal of Mathematical Physics
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Acta Mathematica
1 Advances in Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Applied Mathematics and Optimization
1 Bulletin of the London Mathematical Society
1 Indiana University Mathematics Journal
1 Journal of Differential Geometry
1 Proceedings of the American Mathematical Society
1 Acta Applicandae Mathematicae
1 Applied Mathematics Letters
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Communications in Partial Differential Equations
1 Notices of the American Mathematical Society
1 Bollettino della Unione Matemàtica Italiana. Serie VII. B
1 SIAM Journal on Optimization
1 Potential Analysis
1 SIAM Journal on Scientific Computing
1 Electronic Journal of Differential Equations (EJDE)
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Interfaces and Free Boundaries
1 Journal of the European Mathematical Society (JEMS)
1 Communications in Contemporary Mathematics
1 Nonlinear Analysis. Real World Applications
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Oberwolfach Reports
1 SIAM Journal on Imaging Sciences
1 Analysis & PDE
1 Philosophical Transactions A. Royal Society of London
1 Progress in Nonlinear Differential Equations and Their Applications
1 Appunti dei Corsi Tenuti da Docenti della Scuola

Publications by Year

Citations contained in zbMATH Open

99 Publications have been cited 932 times in 536 Documents Cited by Year
Variational methods in shape optimization problems. Zbl 1117.49001
Bucur, Dorin; Buttazzo, Giuseppe
144
2005
On the asymptotic limit of the Navier-Stokes system on domains with rough boundaries. Zbl 1143.35080
Bucur, Dorin; Feireisl, Eduard; Nečasová, Šárka; Wolf, Joerg
42
2008
Minimization of the \(k\)-th eigenvalue of the Dirichlet Laplacian. Zbl 1254.35165
Bucur, Dorin
36
2012
Existence results for some optimal partition problems. Zbl 0915.49006
Bucur, Dorin; Buttazzo, Giuseppe; Henrot, Antoine
31
1998
\(N\)-dimensional shape optimization under capacitary constraint. Zbl 0847.49029
Bucur, Dorin; Zolesio, Jean Paul
29
1995
An alternative approach to the Faber-Krahn inequality for Robin problems. Zbl 1186.35118
Bucur, Dorin; Daners, Daniel
28
2010
Boundary behavior of viscous fluids: Influence of wall roughness and friction-driven boundary conditions. Zbl 1273.76073
Bucur, Dorin; Feireisl, Eduard; Nečasová, Šárka
28
2010
A variational approach to the isoperimetric inequality for the Robin eigenvalue problem. Zbl 1228.49049
Bucur, Dorin; Giacomini, Alessandro
27
2010
Optimal partitions for eigenvalues. Zbl 1207.49050
Bourdin, Blaise; Bucur, Dorin; Oudet, Édouard
21
2009
Shape optimisation problems governed by nonlinear state equations. Zbl 0918.49030
Bucur, Dorin; Trebeschi, Paola
20
1998
On the first eigenvalue of a fourth order Steklov problem. Zbl 1171.35089
Bucur, Dorin; Ferrero, Alberto; Gazzola, Filippo
19
2009
Minimization of the third eigenvalue of the Dirichlet Laplacian. Zbl 0974.35082
Bucur, Dorin; Henrot, Antoine
18
2000
Faber-Krahn inequalities for the Robin-Laplacian: a free discontinuity approach. Zbl 1458.35286
Bucur, Dorin; Giacomini, Alessandro
18
2015
Multiphase shape optimization problems. Zbl 1312.49050
Bucur, Dorin; Velichkov, Bozhidar
16
2015
Boundary variation for a Neumann problem. Zbl 1072.35063
Bucur, Dorin; Varchon, Nicolas
16
2000
Monotonicity formula and regularity for general free discontinuity problems. Zbl 1283.49056
Bucur, Dorin; Luckhaus, Stephan
16
2014
Lipschitz regularity of the eigenfunctions on optimal domains. Zbl 1319.49067
Bucur, Dorin; Mazzoleni, Dario; Pratelli, Aldo; Velichkov, Bozhidar
15
2015
Minimization of \(\lambda_{2}(\Omega)\) with a perimeter constraint. Zbl 1186.49032
Bucur, Dorin; Buttazzo, Giuseppe; Henrot, Antoine
15
2009
On the asymptotic limit of flows past a ribbed boundary. Zbl 1189.35219
Bucur, Dorin; Feireisl, Eduard; Nečasová, Šárka
15
2008
Asymptotic behaviour of optimal spectral planar domains with fixed perimeter. Zbl 1290.35164
Bucur, Dorin; Freitas, Pedro
15
2013
Shape optimization problems with Robin conditions on the free boundary. Zbl 1352.49045
Bucur, Dorin; Giacomini, Alessandro
15
2016
A duality approach for the boundary variation of Neumann problems. Zbl 1055.35037
Bucur, Dorin; Varchon, Nicolas
13
2002
The incompressible limit of the full Navier-Stokes-Fourier system on domains with rough boundaries. Zbl 1162.76048
Bucur, Dorin; Feireisl, Eduard
13
2009
Influence of wall roughness on the slip behaviour of viscous fluids. Zbl 1151.76004
Bucur, Dorin; Feireisl, Eduard; Nečasová, Šárka
12
2008
The first biharmonic Steklov eigenvalue: positivity preserving and shape optimization. Zbl 1229.35156
Bucur, Dorin; Gazzola, Filippo
12
2011
Optimal shapes maximizing the Steklov eigenvalues. Zbl 1367.49037
Bogosel, Beniamin; Bucur, Dorin; Giacomini, Alessandro
11
2017
The quantitative Faber-Krahn inequality for the Robin Laplacian. Zbl 1387.35428
Bucur, Dorin; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina
10
2018
On the attainable eigenvalues of the Laplace operator. Zbl 0920.35099
Bucur, Dorin; Buttazzo, Giuseppe; Figueiredo, Isabel
10
1999
The Robin problems. Zbl 1375.49053
Bucur, Dorin; Freitas, Pedro; Kennedy, James
10
2017
Spectral optimization problems for potentials and measures. Zbl 1301.49122
Bucur, Dorin; Buttazzo, Giuseppe; Velichkov, Bozhidar
9
2014
On the torsion function with Robin or Dirichlet boundary conditions. Zbl 1292.35141
van den Berg, M.; Bucur, D.
9
2014
How to choose interpolation data in images. Zbl 1190.94006
Belhachmi, Zakaria; Bucur, Dorin; Burgeth, Bernhard; Weickert, Joachim
9
2009
Regularity of optimal convex shapes. Zbl 1057.49029
Bucur, Dorin
8
2003
Anatomy of the shape Hessian via Lie brackets. Zbl 0939.49023
Bucur, Dorin; Zolésio, Jean-Paul
8
1997
Asymptotic analysis and scaling of friction parameters. Zbl 1106.35038
Bucur, Dorin; Ionescu, Ioan R.
8
2006
Lower bounds for the Prékopa-Leindler deficit by some distances modulo translations. Zbl 1326.26032
Bucur, Dorin; Fragalà, Ilaria
8
2014
Uniform concentration-compactness for Sobolev spaces on variable domains. Zbl 0957.49027
Bucur, Dorin
8
2000
Maximising Neumann eigenvalues on rectangles. Zbl 1358.35078
van den Berg, M.; Bucur, D.; Gittins, K.
8
2016
A new isoperimetric inequality for the elasticae. Zbl 1377.49047
Bucur, Dorin; Henrot, Antoine
8
2017
Optimal convex shapes for concave functionals. Zbl 1253.49031
Bucur, Dorin; Fragalà, Ilaria; Lamboley, Jimmy
7
2012
On the characterization of the compact embedding of Sobolev spaces. Zbl 1241.49023
Bucur, Dorin; Buttazzo, Giuseppe
7
2012
The uniform rugosity effect. Zbl 1294.35088
Bonnivard, Matthieu; Bucur, Dorin
6
2012
Variational methods in some shape optimization problems. Zbl 1066.49026
Bucur, Dorin; Buttazzo, Giuseppe
6
2002
Stability and uniqueness for the crack identification problem. Zbl 1136.35102
Belhachmi, Zakaria; Bucur, Dorin
6
2007
Spectral optimization problems with internal constraint. Zbl 1287.49049
Bucur, Dorin; Buttazzo, Giuseppe; Velichkov, Bozhidar
6
2013
Characterization for the Kuratowski limits of a sequence of Sobolev spaces. Zbl 0924.46028
Bucur, Dorin
6
1999
A sharp estimate for the first Robin-Laplacian eigenvalue with negative boundary parameter. Zbl 1427.35163
Bucur, Dorin; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina
6
2019
On the honeycomb conjecture for a class of minimal convex partitions. Zbl 1396.52024
Bucur, Dorin; Fragalà, Ilaria; Velichkov, Bozhidar; Verzini, Gianmaria
5
2018
A Faber-Krahn inequality for the Cheeger constant of \(N\)-gons. Zbl 1334.49129
Bucur, Dorin; Fragalà, Ilaria
5
2016
Boundary optimization under pseudo curvature constraint. Zbl 0889.49026
Bucur, Dorin; Zolésio, Jean-Paul
5
1996
Free boundary problems and density perimeter. Zbl 0856.35137
Bucur, Dorin; Zolésio, Jean-Paul
5
1996
Shape optimization problems for eigenvalues of elliptic operators. Zbl 1087.49032
Belhachmi, Zakaria; Bucur, Dorin; Buttazzo, Giuseppe; Sac-Epée, Jean-Marc
5
2006
Characterization of the shape stability for nonlinear elliptic problems. Zbl 1245.35035
Bucur, Dorin
5
2006
On the problem of optimal cutting. Zbl 1028.49033
Bucur, Dorin; Buttazzo, Giuseppe; Varchon, Nicolas
4
2002
Continuity with respect to the domain in the Neumann problem. (Continuité par rapport au domaine dans le problème de Neumann.) Zbl 0805.35010
Bucur, Dorin; Zolesio, Jean-Paul
4
1994
On the isoperimetric inequality for the buckling of a clamped plate. Zbl 1030.49043
Ashbaugh, S.; Bucur, Dorin
4
2003
Quasistatic evolution in debonding problems via capacitary methods. Zbl 1155.74030
Bucur, Dorin; Buttazzo, Giuseppe; Lux, Anne
4
2008
Spectrum stability of an elliptic operator to domain perturbations. Zbl 0919.49014
Bucur, Dorin; Zolésio, Jean-Paul
4
1998
The Saint-Venant inequality for the Laplace operator with Robin boundary conditions. Zbl 1334.35183
Bucur, Dorin; Giacomini, Alessandro
3
2015
Shape optimisation under uniform capacity condition. (Optimisation de forme sous contrainte capacitaire.) Zbl 0806.35008
Bucur, Dorin; Zolesio, Jean-Paul
3
1994
A characterization theorem for the \(\gamma\)-convergence. (Un théorème de caractérisation pour la \(\gamma\)-convergence.) Zbl 0859.35023
Bucur, Dorin
3
1996
Whitney property in two dimensional Sobolev spaces. Zbl 1151.46018
Bucur, Dorin; Giacomini, Alessandro; Trebeschi, Paola
3
2008
Mini-workshop: Shape analysis for eigenvalues. Abstracts from the mini-workshop held April 8–14, 2007. Zbl 1177.49004
Bucur, Dorin (ed.); Buttazzo, Giuseppe (ed.); Henrot, Antoine (ed.)
3
2007
Stability of the Neumann problem for variations of the boundary. (Stabilité de la solution d’un problème de Neumann pour des variations de frontière.) Zbl 0961.35030
Bucur, Dorin; Varchon, Nicolas
3
2000
An existence result for optimal obstacles. Zbl 0920.49008
Bucur, Dorin; Buttazzo, Giuseppe; Trebeschi, Paola
3
1999
Minimization of the \(k\)-th eigenvalue of the Robin-Laplacian. Zbl 1429.49015
Bucur, Dorin; Giacomini, Alessandro
3
2019
A surgery result for the spectrum of the Dirichlet Laplacian. Zbl 1331.49062
Bucur, Dorin; Mazzoleni, Dario
3
2015
\(L^\infty\) bounds of Steklov eigenfunctions and spectrum stability under domain variation. Zbl 1450.35192
Bucur, Dorin; Giacomini, Alessandro; Trebeschi, Paola
3
2020
Wall laws for viscous fluids near rough surfaces. Zbl 1329.76052
Bucur, Dorin; Dalibard, Anne-Laure; Gérard-Varet, David
2
2012
The Robin-Laplacian problem on varying domains. Zbl 1379.35062
Bucur, Dorin; Giacomini, Alessandro; Trebeschi, Paola
2
2016
Optimal partitions for Robin Laplacian eigenvalues. Zbl 1403.49046
Bucur, Dorin; Fragalà, Ilaria; Giacomini, Alessandro
2
2018
On the honeycomb conjecture for Robin Laplacian eigenvalues. Zbl 1414.49044
Bucur, Dorin; Fragalà, Ilaria
2
2019
Shape optimization for elliptic problems under Neumann boundary conditions. Zbl 0900.35043
Bucur, Dorin; Zolesio, Jean-Paul
2
1994
Wiener’s criterion and shape continuity for the Dirichlet problem. Zbl 0891.35161
Bucur, Dorin; Zolesio, Jean-Paul
2
1997
Shape continuity for Dirichlet-Neumann problems. Zbl 0854.35011
Bucur, D.; Zolesio, J.-P.
2
1996
Shape analysis for nonsmooth elliptic operators. Zbl 0874.49035
Bucur, D.
2
1996
How to prove existence in shape optimization. Zbl 1167.49325
Bucur, Dorin
2
2005
Proof of the honeycomb asymptotics for optimal Cheeger clusters. Zbl 1418.52006
Bucur, Dorin; Fragalà, Ilaria
2
2019
Maximization of the second non-trivial Neumann eigenvalue. Zbl 1423.35271
Bucur, Dorin; Henrot, Antoine
2
2019
Phase field approach to optimal packing problems and related Cheeger clusters. Zbl 1433.49057
Bogosel, Beniamin; Bucur, Dorin; Fragalà, Ilaria
2
2020
Stability and instability issues of the Weinstock inequality. Zbl 1458.35287
Bucur, Dorin; Nahon, Mickaël
2
2021
A free boundary approach to the Faber-Krahn inequality. Zbl 1390.35200
Bucur, Dorin; Freitas, Pedro
1
2017
Flat cone condition and shape analysis. Zbl 0830.49026
Bucur, D.; Zolésio, J. P.
1
1994
Stability for the Dirichlet problem under continuous Steiner symmetrization. Zbl 0977.31007
Bucur, Dorin; Henrot, Antoine
1
2000
Microshape control, riblets, and drag minimization. Zbl 1426.76145
Bonnivard, Matthieu; Bucur, Dorin
1
2013
Stability of the spectrum of an elliptic operator with respect to the domain. (Stabilité du spectre d’un opérateur elliptique par rapport au domaine.) Zbl 0874.35076
Bucur, Dorin; Zolésio, Jean-Paul
1
1997
Continuity of the elasticity system solutions with respect to the geometrical domain variations. Zbl 1001.74008
Bucur, D.; Henrot, A.; Sokolowski, J.; Żochowski, A.
1
2001
A new relaxation space for obstacles. Zbl 1038.49021
Bucur, Dorin; Trebeschi, Paola
1
2003
Finite element approximation of the Neumann eigenvalue problem in domains with multiple cracks. Zbl 1105.65110
Belhachmi, Zakaria; Bucur, Dorin; Sac-Epee, Jean-Marc
1
2006
The eigenvalue problem with conductivity boundary conditions. Zbl 1181.35152
Bucur, Dorin; Durus, Ioana; Oudet, Edouard
1
2008
Global minimizing domains for the first eigenvalue of an elliptic operator with non-constant coefficients. Zbl 0958.49024
Bucur, Dorin; Varchon, Nicolas
1
2000
Concentration-compactness principle and \(\gamma\)-convergence. (Concentration-compacité et \(\gamma\)-convergence.) Zbl 0914.35039
Bucur, Dorin
1
1998
Best constant in Poincaré inequalities with traces: a free discontinuity approach. Zbl 1428.49043
Bucur, Dorin; Giacomini, Alessandro; Trebeschi, Paola
1
2019
Reverse Faber-Krahn and Mahler inequalities for the Cheeger constant. Zbl 1404.52001
Bucur, Dorin; Fragalà, Ilaria
1
2018
Blaschke-Santaló and Mahler inequalities for the first eigenvalue of the Dirichlet Laplacian. Zbl 1361.49019
Bucur, Dorin; Fragalà, Ilaria
1
2016
Two optimization problems in thermal insulation. Zbl 1372.80002
Bucur, Dorin; Buttazzo, Giuseppe; Nitsch, Carlo
1
2017
The multiphase Mumford-Shah problem. Zbl 1439.49075
Bucur, Dorin; Fragalà, Ilaria; Giacomini, Alessandro
1
2019
Geometric control of the Robin Laplacian eigenvalues: the case of negative boundary parameter. Zbl 1460.49031
Bucur, Dorin; Cito, Simone
1
2020
Weinstock inequality in higher dimensions. Zbl 07367822
Bucur, Dorin; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina
1
2021
Stability and instability issues of the Weinstock inequality. Zbl 1458.35287
Bucur, Dorin; Nahon, Mickaël
2
2021
Weinstock inequality in higher dimensions. Zbl 07367822
Bucur, Dorin; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina
1
2021
\(L^\infty\) bounds of Steklov eigenfunctions and spectrum stability under domain variation. Zbl 1450.35192
Bucur, Dorin; Giacomini, Alessandro; Trebeschi, Paola
3
2020
Phase field approach to optimal packing problems and related Cheeger clusters. Zbl 1433.49057
Bogosel, Beniamin; Bucur, Dorin; Fragalà, Ilaria
2
2020
Geometric control of the Robin Laplacian eigenvalues: the case of negative boundary parameter. Zbl 1460.49031
Bucur, Dorin; Cito, Simone
1
2020
A sharp estimate for the first Robin-Laplacian eigenvalue with negative boundary parameter. Zbl 1427.35163
Bucur, Dorin; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina
6
2019
Minimization of the \(k\)-th eigenvalue of the Robin-Laplacian. Zbl 1429.49015
Bucur, Dorin; Giacomini, Alessandro
3
2019
On the honeycomb conjecture for Robin Laplacian eigenvalues. Zbl 1414.49044
Bucur, Dorin; Fragalà, Ilaria
2
2019
Proof of the honeycomb asymptotics for optimal Cheeger clusters. Zbl 1418.52006
Bucur, Dorin; Fragalà, Ilaria
2
2019
Maximization of the second non-trivial Neumann eigenvalue. Zbl 1423.35271
Bucur, Dorin; Henrot, Antoine
2
2019
Best constant in Poincaré inequalities with traces: a free discontinuity approach. Zbl 1428.49043
Bucur, Dorin; Giacomini, Alessandro; Trebeschi, Paola
1
2019
The multiphase Mumford-Shah problem. Zbl 1439.49075
Bucur, Dorin; Fragalà, Ilaria; Giacomini, Alessandro
1
2019
The quantitative Faber-Krahn inequality for the Robin Laplacian. Zbl 1387.35428
Bucur, Dorin; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina
10
2018
On the honeycomb conjecture for a class of minimal convex partitions. Zbl 1396.52024
Bucur, Dorin; Fragalà, Ilaria; Velichkov, Bozhidar; Verzini, Gianmaria
5
2018
Optimal partitions for Robin Laplacian eigenvalues. Zbl 1403.49046
Bucur, Dorin; Fragalà, Ilaria; Giacomini, Alessandro
2
2018
Reverse Faber-Krahn and Mahler inequalities for the Cheeger constant. Zbl 1404.52001
Bucur, Dorin; Fragalà, Ilaria
1
2018
Optimal shapes maximizing the Steklov eigenvalues. Zbl 1367.49037
Bogosel, Beniamin; Bucur, Dorin; Giacomini, Alessandro
11
2017
The Robin problems. Zbl 1375.49053
Bucur, Dorin; Freitas, Pedro; Kennedy, James
10
2017
A new isoperimetric inequality for the elasticae. Zbl 1377.49047
Bucur, Dorin; Henrot, Antoine
8
2017
A free boundary approach to the Faber-Krahn inequality. Zbl 1390.35200
Bucur, Dorin; Freitas, Pedro
1
2017
Two optimization problems in thermal insulation. Zbl 1372.80002
Bucur, Dorin; Buttazzo, Giuseppe; Nitsch, Carlo
1
2017
Shape optimization problems with Robin conditions on the free boundary. Zbl 1352.49045
Bucur, Dorin; Giacomini, Alessandro
15
2016
Maximising Neumann eigenvalues on rectangles. Zbl 1358.35078
van den Berg, M.; Bucur, D.; Gittins, K.
8
2016
A Faber-Krahn inequality for the Cheeger constant of \(N\)-gons. Zbl 1334.49129
Bucur, Dorin; Fragalà, Ilaria
5
2016
The Robin-Laplacian problem on varying domains. Zbl 1379.35062
Bucur, Dorin; Giacomini, Alessandro; Trebeschi, Paola
2
2016
Blaschke-Santaló and Mahler inequalities for the first eigenvalue of the Dirichlet Laplacian. Zbl 1361.49019
Bucur, Dorin; Fragalà, Ilaria
1
2016
Faber-Krahn inequalities for the Robin-Laplacian: a free discontinuity approach. Zbl 1458.35286
Bucur, Dorin; Giacomini, Alessandro
18
2015
Multiphase shape optimization problems. Zbl 1312.49050
Bucur, Dorin; Velichkov, Bozhidar
16
2015
Lipschitz regularity of the eigenfunctions on optimal domains. Zbl 1319.49067
Bucur, Dorin; Mazzoleni, Dario; Pratelli, Aldo; Velichkov, Bozhidar
15
2015
The Saint-Venant inequality for the Laplace operator with Robin boundary conditions. Zbl 1334.35183
Bucur, Dorin; Giacomini, Alessandro
3
2015
A surgery result for the spectrum of the Dirichlet Laplacian. Zbl 1331.49062
Bucur, Dorin; Mazzoleni, Dario
3
2015
Monotonicity formula and regularity for general free discontinuity problems. Zbl 1283.49056
Bucur, Dorin; Luckhaus, Stephan
16
2014
Spectral optimization problems for potentials and measures. Zbl 1301.49122
Bucur, Dorin; Buttazzo, Giuseppe; Velichkov, Bozhidar
9
2014
On the torsion function with Robin or Dirichlet boundary conditions. Zbl 1292.35141
van den Berg, M.; Bucur, D.
9
2014
Lower bounds for the Prékopa-Leindler deficit by some distances modulo translations. Zbl 1326.26032
Bucur, Dorin; Fragalà, Ilaria
8
2014
Asymptotic behaviour of optimal spectral planar domains with fixed perimeter. Zbl 1290.35164
Bucur, Dorin; Freitas, Pedro
15
2013
Spectral optimization problems with internal constraint. Zbl 1287.49049
Bucur, Dorin; Buttazzo, Giuseppe; Velichkov, Bozhidar
6
2013
Microshape control, riblets, and drag minimization. Zbl 1426.76145
Bonnivard, Matthieu; Bucur, Dorin
1
2013
Minimization of the \(k\)-th eigenvalue of the Dirichlet Laplacian. Zbl 1254.35165
Bucur, Dorin
36
2012
Optimal convex shapes for concave functionals. Zbl 1253.49031
Bucur, Dorin; Fragalà, Ilaria; Lamboley, Jimmy
7
2012
On the characterization of the compact embedding of Sobolev spaces. Zbl 1241.49023
Bucur, Dorin; Buttazzo, Giuseppe
7
2012
The uniform rugosity effect. Zbl 1294.35088
Bonnivard, Matthieu; Bucur, Dorin
6
2012
Wall laws for viscous fluids near rough surfaces. Zbl 1329.76052
Bucur, Dorin; Dalibard, Anne-Laure; Gérard-Varet, David
2
2012
The first biharmonic Steklov eigenvalue: positivity preserving and shape optimization. Zbl 1229.35156
Bucur, Dorin; Gazzola, Filippo
12
2011
An alternative approach to the Faber-Krahn inequality for Robin problems. Zbl 1186.35118
Bucur, Dorin; Daners, Daniel
28
2010
Boundary behavior of viscous fluids: Influence of wall roughness and friction-driven boundary conditions. Zbl 1273.76073
Bucur, Dorin; Feireisl, Eduard; Nečasová, Šárka
28
2010
A variational approach to the isoperimetric inequality for the Robin eigenvalue problem. Zbl 1228.49049
Bucur, Dorin; Giacomini, Alessandro
27
2010
Optimal partitions for eigenvalues. Zbl 1207.49050
Bourdin, Blaise; Bucur, Dorin; Oudet, Édouard
21
2009
On the first eigenvalue of a fourth order Steklov problem. Zbl 1171.35089
Bucur, Dorin; Ferrero, Alberto; Gazzola, Filippo
19
2009
Minimization of \(\lambda_{2}(\Omega)\) with a perimeter constraint. Zbl 1186.49032
Bucur, Dorin; Buttazzo, Giuseppe; Henrot, Antoine
15
2009
The incompressible limit of the full Navier-Stokes-Fourier system on domains with rough boundaries. Zbl 1162.76048
Bucur, Dorin; Feireisl, Eduard
13
2009
How to choose interpolation data in images. Zbl 1190.94006
Belhachmi, Zakaria; Bucur, Dorin; Burgeth, Bernhard; Weickert, Joachim
9
2009
On the asymptotic limit of the Navier-Stokes system on domains with rough boundaries. Zbl 1143.35080
Bucur, Dorin; Feireisl, Eduard; Nečasová, Šárka; Wolf, Joerg
42
2008
On the asymptotic limit of flows past a ribbed boundary. Zbl 1189.35219
Bucur, Dorin; Feireisl, Eduard; Nečasová, Šárka
15
2008
Influence of wall roughness on the slip behaviour of viscous fluids. Zbl 1151.76004
Bucur, Dorin; Feireisl, Eduard; Nečasová, Šárka
12
2008
Quasistatic evolution in debonding problems via capacitary methods. Zbl 1155.74030
Bucur, Dorin; Buttazzo, Giuseppe; Lux, Anne
4
2008
Whitney property in two dimensional Sobolev spaces. Zbl 1151.46018
Bucur, Dorin; Giacomini, Alessandro; Trebeschi, Paola
3
2008
The eigenvalue problem with conductivity boundary conditions. Zbl 1181.35152
Bucur, Dorin; Durus, Ioana; Oudet, Edouard
1
2008
Stability and uniqueness for the crack identification problem. Zbl 1136.35102
Belhachmi, Zakaria; Bucur, Dorin
6
2007
Mini-workshop: Shape analysis for eigenvalues. Abstracts from the mini-workshop held April 8–14, 2007. Zbl 1177.49004
Bucur, Dorin; Buttazzo, Giuseppe; Henrot, Antoine
3
2007
Asymptotic analysis and scaling of friction parameters. Zbl 1106.35038
Bucur, Dorin; Ionescu, Ioan R.
8
2006
Shape optimization problems for eigenvalues of elliptic operators. Zbl 1087.49032
Belhachmi, Zakaria; Bucur, Dorin; Buttazzo, Giuseppe; Sac-Epée, Jean-Marc
5
2006
Characterization of the shape stability for nonlinear elliptic problems. Zbl 1245.35035
Bucur, Dorin
5
2006
Finite element approximation of the Neumann eigenvalue problem in domains with multiple cracks. Zbl 1105.65110
Belhachmi, Zakaria; Bucur, Dorin; Sac-Epee, Jean-Marc
1
2006
Variational methods in shape optimization problems. Zbl 1117.49001
Bucur, Dorin; Buttazzo, Giuseppe
144
2005
How to prove existence in shape optimization. Zbl 1167.49325
Bucur, Dorin
2
2005
Regularity of optimal convex shapes. Zbl 1057.49029
Bucur, Dorin
8
2003
On the isoperimetric inequality for the buckling of a clamped plate. Zbl 1030.49043
Ashbaugh, S.; Bucur, Dorin
4
2003
A new relaxation space for obstacles. Zbl 1038.49021
Bucur, Dorin; Trebeschi, Paola
1
2003
A duality approach for the boundary variation of Neumann problems. Zbl 1055.35037
Bucur, Dorin; Varchon, Nicolas
13
2002
Variational methods in some shape optimization problems. Zbl 1066.49026
Bucur, Dorin; Buttazzo, Giuseppe
6
2002
On the problem of optimal cutting. Zbl 1028.49033
Bucur, Dorin; Buttazzo, Giuseppe; Varchon, Nicolas
4
2002
Continuity of the elasticity system solutions with respect to the geometrical domain variations. Zbl 1001.74008
Bucur, D.; Henrot, A.; Sokolowski, J.; Żochowski, A.
1
2001
Minimization of the third eigenvalue of the Dirichlet Laplacian. Zbl 0974.35082
Bucur, Dorin; Henrot, Antoine
18
2000
Boundary variation for a Neumann problem. Zbl 1072.35063
Bucur, Dorin; Varchon, Nicolas
16
2000
Uniform concentration-compactness for Sobolev spaces on variable domains. Zbl 0957.49027
Bucur, Dorin
8
2000
Stability of the Neumann problem for variations of the boundary. (Stabilité de la solution d’un problème de Neumann pour des variations de frontière.) Zbl 0961.35030
Bucur, Dorin; Varchon, Nicolas
3
2000
Stability for the Dirichlet problem under continuous Steiner symmetrization. Zbl 0977.31007
Bucur, Dorin; Henrot, Antoine
1
2000
Global minimizing domains for the first eigenvalue of an elliptic operator with non-constant coefficients. Zbl 0958.49024
Bucur, Dorin; Varchon, Nicolas
1
2000
On the attainable eigenvalues of the Laplace operator. Zbl 0920.35099
Bucur, Dorin; Buttazzo, Giuseppe; Figueiredo, Isabel
10
1999
Characterization for the Kuratowski limits of a sequence of Sobolev spaces. Zbl 0924.46028
Bucur, Dorin
6
1999
An existence result for optimal obstacles. Zbl 0920.49008
Bucur, Dorin; Buttazzo, Giuseppe; Trebeschi, Paola
3
1999
Existence results for some optimal partition problems. Zbl 0915.49006
Bucur, Dorin; Buttazzo, Giuseppe; Henrot, Antoine
31
1998
Shape optimisation problems governed by nonlinear state equations. Zbl 0918.49030
Bucur, Dorin; Trebeschi, Paola
20
1998
Spectrum stability of an elliptic operator to domain perturbations. Zbl 0919.49014
Bucur, Dorin; Zolésio, Jean-Paul
4
1998
Concentration-compactness principle and \(\gamma\)-convergence. (Concentration-compacité et \(\gamma\)-convergence.) Zbl 0914.35039
Bucur, Dorin
1
1998
Anatomy of the shape Hessian via Lie brackets. Zbl 0939.49023
Bucur, Dorin; Zolésio, Jean-Paul
8
1997
Wiener’s criterion and shape continuity for the Dirichlet problem. Zbl 0891.35161
Bucur, Dorin; Zolesio, Jean-Paul
2
1997
Stability of the spectrum of an elliptic operator with respect to the domain. (Stabilité du spectre d’un opérateur elliptique par rapport au domaine.) Zbl 0874.35076
Bucur, Dorin; Zolésio, Jean-Paul
1
1997
Boundary optimization under pseudo curvature constraint. Zbl 0889.49026
Bucur, Dorin; Zolésio, Jean-Paul
5
1996
Free boundary problems and density perimeter. Zbl 0856.35137
Bucur, Dorin; Zolésio, Jean-Paul
5
1996
A characterization theorem for the \(\gamma\)-convergence. (Un théorème de caractérisation pour la \(\gamma\)-convergence.) Zbl 0859.35023
Bucur, Dorin
3
1996
Shape continuity for Dirichlet-Neumann problems. Zbl 0854.35011
Bucur, D.; Zolesio, J.-P.
2
1996
Shape analysis for nonsmooth elliptic operators. Zbl 0874.49035
Bucur, D.
2
1996
\(N\)-dimensional shape optimization under capacitary constraint. Zbl 0847.49029
Bucur, Dorin; Zolesio, Jean Paul
29
1995
Continuity with respect to the domain in the Neumann problem. (Continuité par rapport au domaine dans le problème de Neumann.) Zbl 0805.35010
Bucur, Dorin; Zolesio, Jean-Paul
4
1994
Shape optimisation under uniform capacity condition. (Optimisation de forme sous contrainte capacitaire.) Zbl 0806.35008
Bucur, Dorin; Zolesio, Jean-Paul
3
1994
Shape optimization for elliptic problems under Neumann boundary conditions. Zbl 0900.35043
Bucur, Dorin; Zolesio, Jean-Paul
2
1994
Flat cone condition and shape analysis. Zbl 0830.49026
Bucur, D.; Zolésio, J. P.
1
1994
all top 5

Cited by 596 Authors

53 Bucur, Dorin
20 Buttazzo, Giuseppe
19 Velichkov, Bozhidar
16 Fragalà, Ilaria
14 Giacomini, Alessandro
11 Henrot, Antoine
10 Feireisl, Eduard
10 Freitas, Pedro
10 Terracini, Susanna
9 Helffer, Bernard
9 Nečasová, Šárka
9 van den Berg, Michiel
8 Bogoşel, Beniamin
8 Mazzoleni, Dario
8 Nitsch, Carlo
8 Suárez-Grau, Francisco Javier
7 Antunes, Pedro Ricardo Simão
7 Bonnivard, Matthieu
7 Brasco, Lorenzo
7 Buoso, Davide
7 Gazzola, Filippo
7 Gérard-Varet, David
7 Osting, Braxton
7 Privat, Yannick
7 Trombetti, Cristina
6 Casado-Díaz, Juan
6 Daners, Daniel
6 Kao, Chiu-Yen
6 Lamberti, Pier Domenico
6 Laugesen, Richard Snyder
6 Lemenant, Antoine
6 Oudet, Edouard
6 Trebeschi, Paola
6 Varchon, Nicolas
6 Zuazua, Enrique
5 Amrouche, Chérif
5 Belhachmi, Zakaria
5 Ferone, Vincenzo
5 Garcke, Harald
5 Kennedy, James Bernard
5 Nandakumaran, Akambadath Keerthiyil
5 Nazarov, Sergeĭ Aleksandrovich
5 Pankrashkin, Konstantin
5 Paoli, Gloria
5 Prakash, Ravi
5 Trani, Leonardo
5 Trélat, Emmanuel
4 Barkatou, Mohammed
4 Bouchitté, Guy
4 Chemetov, Nikolai V.
4 Chiacchio, Francesco
4 Cipriano, Fernanda
4 De Philippis, Guido
4 Felli, Veronica
4 Francfort, Gilles A.
4 Girouard, Alexandre
4 Gittins, Katie
4 Hecht, Claudia
4 Lamboley, Jimmy
4 Luna-Laynez, Manuel
4 Pratelli, Aldo
4 Ruffini, Berardo
4 Russ, Emmanuel
4 Salani, Paolo
4 Seck, Diaraf
4 Sokołowski, Jan
4 Stebel, Jan
4 Tavares, Hugo
4 Trey, Baptiste
4 Zhu, Shengfeng
3 Arrieta, José M.
3 Berchio, Elvise
3 Bi, Hai
3 Brandolini, Barbara
3 Caffarelli, Luis Ángel
3 Chambolle, Antonin
3 Cito, Simone
3 Dalibard, Anne-Laure
3 Gavitone, Nunzia
3 Hamel, François
3 Ionescu, Ioan Romeo
3 Korobkov, Mikhail V.
3 Kovařík, Hynek
3 La Manna, Domenico Angelo
3 Laurain, Antoine
3 Léna, Corentin
3 Lin, Fang Hua
3 Lotoreichik, Vladimir
3 Lucardesi, Ilaria
3 Ly, Idrissa
3 Maddalena, Francesco
3 Maestre, Faustino
3 Nadirashvili, Nikolai S.
3 Pierre, Michel
3 Piscitelli, Gianpaolo
3 Plakhov, A. Yu
3 Raymond, Jean-Pierre
3 Spedaletti, Juan F.
3 Toader, Rodica
3 Verzini, Gianmaria
...and 496 more Authors
all top 5

Cited in 168 Serials

36 Journal of Differential Equations
26 Calculus of Variations and Partial Differential Equations
23 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
16 Archive for Rational Mechanics and Analysis
15 Journal de Mathématiques Pures et Appliquées. Neuvième Série
12 SIAM Journal on Mathematical Analysis
11 Journal of Optimization Theory and Applications
11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
10 Applied Mathematics and Optimization
10 SIAM Journal on Control and Optimization
9 Journal of Functional Analysis
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
9 The Journal of Geometric Analysis
9 Milan Journal of Mathematics
8 Mathematical Methods in the Applied Sciences
7 Journal of Mathematical Analysis and Applications
7 Journal of Mathematical Fluid Mechanics
6 ZAMP. Zeitschrift für angewandte Mathematik und Physik
6 Advances in Mathematics
6 Annali di Matematica Pura ed Applicata. Serie Quarta
6 Proceedings of the American Mathematical Society
6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Communications on Pure and Applied Analysis
5 Journal of Scientific Computing
5 Communications in Partial Differential Equations
5 Journal of Mathematical Imaging and Vision
5 Potential Analysis
5 Journal of Convex Analysis
4 Manuscripta Mathematica
4 Annals of Global Analysis and Geometry
4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
4 Nonlinear Analysis. Real World Applications
3 Applicable Analysis
3 Computers & Mathematics with Applications
3 Computer Methods in Applied Mechanics and Engineering
3 Journal of Mathematical Physics
3 Applied Mathematics and Computation
3 Integral Equations and Operator Theory
3 Journal of Computational and Applied Mathematics
3 Mathematische Annalen
3 Numerical Functional Analysis and Optimization
3 Transactions of the American Mathematical Society
3 Applications of Mathematics
3 Journal of Nonlinear Science
3 Continuum Mechanics and Thermodynamics
3 SIAM Journal on Scientific Computing
3 Interfaces and Free Boundaries
3 Journal of the European Mathematical Society (JEMS)
3 Communications in Contemporary Mathematics
3 Journal of Evolution Equations
3 SIAM Journal on Imaging Sciences
3 Science China. Mathematics
3 Journal de l’École Polytechnique – Mathématiques
3 Séminaire Laurent Schwartz. EDP et Applications
2 Communications in Mathematical Physics
2 Journal of Computational Physics
2 Letters in Mathematical Physics
2 Annales de l’Institut Fourier
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Archiv der Mathematik
2 BIT
2 Bulletin of the London Mathematical Society
2 Mathematika
2 Numerische Mathematik
2 Ricerche di Matematica
2 Revista Matemática Iberoamericana
2 Numerical Methods for Partial Differential Equations
2 Journal of Elasticity
2 St. Petersburg Mathematical Journal
2 NoDEA. Nonlinear Differential Equations and Applications
2 Discrete and Continuous Dynamical Systems
2 The Journal of Fourier Analysis and Applications
2 Mathematical Problems in Engineering
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Revista Matemática Complutense
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Discrete and Continuous Dynamical Systems. Series B
2 Portugaliae Mathematica. Nova Série
2 Central European Journal of Mathematics
2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
2 Inverse Problems and Imaging
2 Discrete and Continuous Dynamical Systems. Series S
2 Journal of Spectral Theory
2 Mathematical Control and Related Fields
2 Annales Mathématiques du Québec
2 Advances in Nonlinear Analysis
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 International Journal of Engineering Science
1 International Journal of Solids and Structures
1 Inverse Problems
1 Journal d’Analyse Mathématique
1 Journal of Statistical Physics
1 Moscow University Mathematics Bulletin
1 Nonlinearity
1 Canadian Journal of Mathematics
1 Duke Mathematical Journal
1 Functional Analysis and its Applications
1 Indiana University Mathematics Journal
1 International Journal of Mathematics and Mathematical Sciences
...and 68 more Serials
all top 5

Cited in 42 Fields

379 Partial differential equations (35-XX)
238 Calculus of variations and optimal control; optimization (49-XX)
74 Fluid mechanics (76-XX)
65 Numerical analysis (65-XX)
59 Mechanics of deformable solids (74-XX)
45 Operator theory (47-XX)
34 Global analysis, analysis on manifolds (58-XX)
25 Functional analysis (46-XX)
23 Convex and discrete geometry (52-XX)
19 Real functions (26-XX)
17 Potential theory (31-XX)
14 Differential geometry (53-XX)
13 Information and communication theory, circuits (94-XX)
11 Measure and integration (28-XX)
11 Operations research, mathematical programming (90-XX)
10 Systems theory; control (93-XX)
9 Geometry (51-XX)
8 Quantum theory (81-XX)
8 Biology and other natural sciences (92-XX)
7 Probability theory and stochastic processes (60-XX)
7 Computer science (68-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Ordinary differential equations (34-XX)
4 Mechanics of particles and systems (70-XX)
4 Optics, electromagnetic theory (78-XX)
3 Combinatorics (05-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Difference and functional equations (39-XX)
2 Number theory (11-XX)
2 Functions of a complex variable (30-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Approximations and expansions (41-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Integral equations (45-XX)
2 Statistics (62-XX)
1 History and biography (01-XX)
1 Special functions (33-XX)
1 Abstract harmonic analysis (43-XX)
1 Manifolds and cell complexes (57-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Geophysics (86-XX)
1 Mathematics education (97-XX)

Citations by Year